What are the solutions to the equation x^3-7x^2-57x+15=0 ?

The solutions to the equation x^3-7x^2-57x+15=0 are x=-5,x=6+sqrt(33),x=6-sqrt(33)

Find the zeros of x^3-7x^2-57x+15=0

The zeros of x^3-7x^2-57x+15=0 are x=-5,x=6+sqrt(33),x=6-sqrt(33)

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x^{3} - 7 x^{2} - 57 x + 15 = 0

x = - 5, x = 6 + 33, x = 6 - 33

Decimal Notation

x = - 5, x = 11.74456 \dots, x = 0.25543 \dots

Solution steps

x^{3} - 7 x^{2} - 57 x + 15 = 0

Factor

x^{3} - 7 x^{2} - 57 x + 15 : (x + 5) (x^{2} - 12 x + 3)

(x + 5) (x^{2} - 12 x + 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 5 = 0 or x^{2} - 12 x + 3 = 0

Solve

x + 5 = 0 : x = - 5

Solve

x^{2} - 12 x + 3 = 0 : x = 6 + 33, x = 6 - 33

The solutions are

x = - 5, x = 6 + 33, x = 6 - 33

s, s^{3} + 12 s^{2} + 20 s = 0

x^{2} - 3 = \frac{x ( x ^{2} - 9 )}{4}

2 b^{8} - 18 b^{6} = 0

(z - 4)^{3} = 0

55.82 x^{3} - 12 x - 384 = 0

What are the solutions to the equation x^3-7x^2-57x+15=0 ?
The solutions to the equation x^3-7x^2-57x+15=0 are x=-5,x=6+sqrt(33),x=6-sqrt(33)
Find the zeros of x^3-7x^2-57x+15=0
The zeros of x^3-7x^2-57x+15=0 are x=-5,x=6+sqrt(33),x=6-sqrt(33)